simplify the following expressions ( combine like-terms )

Answer:

  5

Step-by-step explanation:

Simplify the equation:

  2m -10 = -3m +15

Add 3m

  5m -10 = 15

Add 10

  5m = 25

Divide by 5

  m = 5

Answer:

Step-by-step explanation:

If points A, B, and C are collinear and point B is the midpoint of AC then

AB = BC

12x - 398 = 22

   + 398      + 398

 12x  =  420

  ÷12    ÷12  

  x = 35

Answer:

A) a= 123   b= 123   c= 57

B) d= 98   e= 98   f= 98

C) g= 75   h= 75

Step-by-step explanation:

The ones that have the same angle measurement are corresponding angles, meaning that they have -well- the same measurement.

Adjacent angles are how I figured out the measurements. If you have one angle, the angle next to it will form a straight line, or 180 degrees. You just subtract that measurement to 180 and get the other angle.

Answer:

G= 75 H=75

Step-by-step explanation:

Ok, so with these the lines are marked as parallel. All lines are equal to 180 degrees, so with the given information that one of the angles are 75 degrees, you can subtract 75 from 180 to get 105. Since both g and h did not require that, it was not entirely necessary for me to say that, but I hope that it can be helpful for you. But, because the lines are parallel, it means that the other side also has a 75 degree angle as well as a 105 degree angle. Just looking at the size of the angle that's labeled can help too. the smaller angle is 75. Since the lines are parallel, you can just find the smaller angles and mark them as 75 as well. Hope that was helpful to you!  

Answer:

The car

Step-by-step explanation:

1mi = 1.6 km

95km = 95/1.6 = 59.375 km

95km/h = 59.375mi//h

     65mi/h

Comparative:

65 > 59.375

then:

the car is more faster

Answer:

The answer is A : the car will take less time because it travels at a faster speed. the train will travel at 95/1.6=59.03 while the car travels at 65

Step-by-step explanation:

Answer:

3 cups of vinegar

Step-by-step explanation:

∵ Nick uses the amount of vinegar for every 1 cup of olive oil = [tex]\frac{1}{4}[/tex] cup

∴ He will need the amount of vinegar for 12 cups of olive oil = [tex]\frac{1}{4}\times 12[/tex] cups

                                                                                                 = 3 cups

Therefore, Nick will need 3 cups of vinegar to make salad dressing.

Answer:

1) d=25 2) d=2[tex]\sqrt{2}[/tex]  3) d=[tex]13\sqrt{2}[/tex]      

Step-by-step explanation:

[tex]d=\sqrt{(-2-1)^2+(-2-2)^2}\\ d=\sqrt{(-3)^2+(-4)^2} \\d=\sqrt{(-9)+(-16)}\\d=\sqrt{-25} \\d=5[/tex]

[tex]d=\sqrt{(5-3)^2+(-4-(-6))^2}\\ d=\sqrt{(2)^2+(2)^2} \\d=\sqrt{(4)+(4)}\\d=\sqrt{8} \\d=2\sqrt{2}[/tex]

[tex]d=\sqrt{(8-(-9))^2+(-7-0)^2}\\ d=\sqrt{(17)^2+(-7)^2} \\d=\sqrt{(289)+(49)}\\d=\sqrt{338} \\d=13\sqrt{2}[/tex]

Answer:

567 miles

Step-by-step explanation:

Total distance travelled till now = 315 miles

Total time taken to cover the above distance =  5 hours.

Distance covered in each hour = [tex]\frac{315}{5} = 63[/tex]

Thus, it means in each hour it covers the distance of 63 miles.

Assuming the same speed can be continued and maintained, the total distance that can be covered in 9 hours shall be:

63 miles in each hour [tex]\times[/tex] 9 hours = 567 miles.

Answer:

567 miles

Step-by-step explanation:

Answer:

try 6 .75. I'm not to sure but I tried

Given :

An expression sin(140°)cos(20°) – cos(140°)sin(20°) .

To Find :

The value of given expression .

Solution :

We know ,

sin(A - B) = sin A cos B - cos A sin B

By comparing with above formula , we get :

A = 140° and B = 20° .

So , sin(140°)cos(20°) – cos(140°)sin(20°) = sin ( 140°- 20°) = sin 120° .

Now , [tex]sin 120^\circ{} = \dfrac{\sqrt{3}}{2}[/tex]

Therefore , the value of expression is [tex]\dfrac{\sqrt{3}}{2}[/tex] .

Hence , this is the required solution .

Answer:

40 possible answers

Step-by-step explanation:

20 answers from the 10 true or false questions and 20 answers from the 5 multiple choice questions

Answer:

x = -1

Step-by-step explanation:

x-7/4=-2

x-7=-8

x=-1

Answer:

work is attached and shown

Answer:

-7n - .9

Step-by-step explanation:

By distributing the - to the parentheses, you must add a - sign to each number in the parentheses. This makes the positives turn negative.

Answer:

let cp of 17 water bottle is x

cp of 1 water bottle = x/17

from the question

sp of 16 water bottles = x

sp of 1 water bottle = x/16

profit = sp -cp

        = x/16 - x/17

      =  x/272

profit % = profit /cp * 100%

            = (x/272)/ (x/17) * 100%

= 6.25%

Answer:

[See Below]

Step-by-step explanation:

✦ Given that [tex]1=8\frac{1}{3}[/tex] all you have to do is multiply:

So [tex]x=250[/tex].

~Hope this helps Mate. If you need anything feel free to message me.

Answer:

X/24

Step-by-step explanation:

he ratio of the unknown amount (x) invested in company A to the known amount ($24) invested in company B is X/24

Answer:

I think option (D) 4 is correct

Answer:

Step-by-step explanation:

E D G E

Answer:

A

Step-by-step explanation:

just did the quiz

Answer: The answer is A on the test I got 100% on the question.

Step-by-step explanation: ed 2020

Answer: x = 2

OA. The solution is

(Simplify your answer.)

Step-by-step explanation:

Answer: See below

Step-by-step explanation:

a.

To solve for h, we want to use algebraic properties to isolate h.

[tex]A=\frac{1}{2}h(b_1 +b_2)[/tex]                [multiply both sides by 2]

[tex]2A=h(b_1 +b_2)[/tex]                 [divide both sides by b₁+b₂]

[tex]\frac{2A}{b_1+b_2} =h[/tex]

[tex]h=\frac{2A}{b_1+b_2}[/tex]

---------------------------------------------------------------------------------------------

b.

To solve for b₂, we first multiply both sides by 2. Then, we divide both sides by h. This leaves us with [tex]\frac{2A}{h} =b_1+b_2[/tex]. To get b₂, you subtract both sides by b₁.

Answer:

h=2A/(b1+b2)

and

b2=2A/h-b1.

Answer:

Using trigonometric identities.

8,100,000,000

Step-by-step explanation:

Answer:

8,100,000,000

Step-by-step explanation:

Following the order of operations, expressions in parentheses must be evaluated before exponents, thus:

[tex](3 * 100)^4 \\= (300)^4 &\\&= 300*300*300*300 \\&= 8,100,000,000\ or \ 8.1 * 10^9[/tex]

Answer:

I think #5 is c.

Step-by-step explanation:

because it says 50% without decimal and it's doesn't equal to 1/2%

Answer:

Q6 b. 70

Step-by-step explanation:

Change 20% to decimal so it will be 20/100=0.2

350/0.2=70

Answer:

No

Step-by-step explanation:

No.  The mean and median would both be three, but since all the numbers are different, there IS NO mode.

Answer:

y = ± [tex]\sqrt{\frac{a-x}{2b} }[/tex]

Step-by-step explanation:

Given

x = a - 2by² ( add 2by² to both sides )

x + 2by² = a ( subtract x from both sides )

2by² = a - x ( divide both sides by 2b )

y² = [tex]\frac{a-x}{2b}[/tex] ( take the square root of both sides )

y = ± [tex]\sqrt{\frac{a-x}{2b} }[/tex]

Answer:

[tex]y = a - x \di2b[/tex]

Step-by-step explanation:

[tex]2b {y }^{2} = a - x[/tex]

[tex]2b {y}^{2} \div 2b = a - x \ \div 2b[/tex]

[tex] {y}^{2} = a - x \div 2b[/tex]

[tex]y = \sqrt{a - x \div 2b} [/tex]

Answer:

-5a + 9b

Step-by-step explanation:

- (5a - 9b)

Distribute the minus sign

-5a + 9b

Answer:y=1

Step-by-step explanation:

Answer:

y=4/3

Step-by-step explanation:

3+y=2+2

3y=4

y=4 divided by 3

y=4/3

Answer:

$4

Step-by-step explanation:

From the question we have it that jenna bought the 5 reams of paper at a price of 21

The tax on this was $1

The total cost of the paper minus tax = $20

Cost of 1 team = total cost of paper / quantity

= 20/5

From the equation

5x +1 = 21

5x = 21 -1

5x = 20

X = 20/5

X = $4

Therefore we have The cost of a team of paper to be equal to $4

Answer:

Point A reamains unchanged.

Step-by-step explanation:

Let

A(1, -1)

B(1, 1)

C(-4, -1)

D (-4, 1)

REFLECTED OVER Y-AXIS:

When we reflected over Y-AXIS we have to change the sign of X-Coordinates of all vertices so, above given vertices becomes

A(-1, -1)

B(-1, 1)

C(4, -1)

D (4, 1)

REFLECTED OVER X-AXIS:

When we reflected over X-AXIS we have to change the sign of Y-Coordinates of all vertices so, above given vertices becomes

A(-1, 1)

B(-1, -1)

C(4, 1)

D (4,-1)

When we rotated over 180 degree than we have to change the signs of both coordinates of all vertices

A(1, -1)

B(1, 1)

C(-4, -1)

D (-4,1)

we can see that after the opertion of all three processes i.e  reflected over the y-axis, reflected over the x-axis, and rotated 180ºrespectively vertices are same as original vertices so, Rectangle remain unchanged. and point A is also unchanged